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    Basic Algebra

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    Several basic statistics and finite math problems

    Attached are the math/algebra problems that I am having a hard time solving. Please show your work so I have an understanding of how to solve future problems of these sorts....Thanks! (Please see the attachment rather than the copied material here.) ____________________________________________________ Use the following

    Mathematical induction/pascal triangle

    Please help me with the attached pre-calculus questions. 1. Use mathematical induction to prove that 6 is a factor of n (n + 1)(n + 2). 2. Use mathematical induction to prove 1^2 + 3^2 + 5^2 + . . . + (2n - 1)^2 = n (4n^2 - 1) / 3. 3. Expand (2x - y)^6 using binomial coefficients and then evaluate each coefficient. Ex

    Perform the indicated operation

    Please see the attached file. 1. Simplify (2x^3 y^3)^3 divided 9z^9 2. Perform the indicated operation. Write the answer in scientific notation. 12x10^5 divided (3x10^-2) 3. Rewrite as a base to a power, if possible (9^5 xy)(9^4 x)(9^4 xyz) 4. Simplify (7^3)^9 5. Translate the phrase to an algebr

    Writing equations

    Given the following values 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and x and y form a linear equation in one variable, a equation in two variables, a quadratic equation a polynomial of three terms, a exponential function a logarithmic function.

    Negative Exponents and Scientific Notation

    Evaluate each expression 1.) 2^3/10-^2 - 2/7^-2 2.) (p^-5)^-9(p^-6)^4/(p^-8)^0(p^4)^-5 3.) 9.3 * 10^-5 4.) 8 * 10^6 5.) 1 * 10^-8/4 * 10^7 6.) Diameter of a circle. If the diameter of a circle is 1.3 * 10^-12 meters, then what is the radius?

    Simplify each expression

    Simplify each expression 1.) -4^0 - 8^0 2.) -12z^4y^/-2hk^3 (this is a fraction) 3.) 2x^+4/2x (this is a fraction) 4.) (14y+8y^+y^3+12) divided by (6+y) 5.) Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x+6 yards. If the width is x yards, find a binomial that represents the length.

    Sam lives on a lot that he thought was a square.

    Find each product 1.) (3y^+1)(3y^-1) 2.) (3z^4-8)^ 3.) Square lot. Sam lives on a lot that he thought was a square. 157 feet by 157 feet. When he had it surveyed, he discovered that one side was actually 2 feet longer than he thought and the other side was actually 2 feet shorter than he thought. How much less are

    Use FOIL to find each product

    Use FOIL to find each product 1.) (2x-5y)(x+y) 2.) (5y^3w^ + z)(2y^3w^ + 3z) 3.) Area of a parallelogram. Find a trinomial that represents the area of a parallelogram whose base is 3x + 2 meters and whose height is 2x + 3 meters.

    Graph the equation using the slope and the y-intercept

    1. Graph the equation using the slope and the y-intercept y=10/7x+3 2. Solve by the substitution method 3x+4y=12 x=37-5y 3. Solve: 5/8x + 1/16x=3/16 + x 9. Type an inequality -0.05x<-45 I think the answer is x>900 is that right? 10. Translate to an a

    Making an Open-top Box from a Cardboard

    Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner?

    Listing Subgroups and Subfields

    Please list the subgroups and subfields detailed in the attachment and then use the Fundamental Theorem of Galois Theory to ensure you've got them all.

    Polynomial equations

    Please help solve: 6x^2(3x^2-4x)/(12x*5) (6x^2-7x-5)/(3-x) 6(2x-1/5)+5(x/6)+3(8-3x/10) (17-4x)/12=5 (1/10)*(x+8)-(1/15)*(x-5)=1

    Expressions: Ratio of the Number of Miles per Gallon for a Car

    Car X used k gallons of gas while traveling p miles, and car Y used s gallons of gas while traveling r miles. What was the ratio of the number of miles per gallon for car X to the number of miles per gallon for the car Y? a. kr/ps b. ks/pr c. pr/ks d ps/kr.

    Problems in Algebra - Quadratics and Graphing

    Practice problems in Algebra, including mostly quadratics and graphing. See the attached questions file. 1). Rationalize the denominator and simplify 2). Solve for , where t is a real number. If there is more than one solution, separate them with commas. 3). Solve for where x is a real number. If there is more than

    Rational Expressions for Volume

    Please provide all work and steps taken to answer each problem. Thank you. Simplify the following expression 1). -(-6x-w)-3(-5w-2x) 2). The volume of a right circular cone is given by V= The letter stands for the radius of the circular base of the cone, and h is the height of the cone. Solve for . 3). Express the f